Dimi analyzed this system of equations and determined that there is no solution.

y = 3x – 2
y + 2 = 3x

is he correct?

a. yes, because the lines represented by the equations have the same slope.

b. no, because the lines represented by the equations have different slopes.

c. yes, because the lines represented by the equations have the same y-intercept.

d. no, because the lines represented have the same slope and the same y-intercepts.

Option D-No, because the lines represented have the same slope and the same y-intercepts.  

Step-by-step explanation:

 Given :    Equation 1  - y=3x-2

                 Equation 1 - y-2=3x

Dimi analyzed the equations have no solution.

To determine : Whether he is correct or not

Solution : No he is not correct because both the equations are same and having same slope and the same y intercept

Since the equations are same they have infinite solution.

therefore, Option D is correct - No, because the lines represented have the same slope and the same y-intercepts.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: it's d

step-by-step explanation: